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Finding the Fourth Proportional to 2,161.71, 3,240.48 and 699.87

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Solution

The fourth proportional to 2,161.71, 3,240.48 and 699.87 is: 1,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.71 : 3,240.48 = 699.87 : x
  2. Step 2: Convert to fraction form
    2,161.71/3,240.48 = 699.87/x
  3. Step 3: Cross multiply
    2,161.71x = 3,240.48 × 699.87
  4. Step 4: Simplify right side
    2,161.71x = 2,267,914.74
  5. Step 5: Solve for x
    x = 2,267,914.74/2,161.71
  6. Step 6: Final answer
    x = 1,049.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.